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In how many ways can 21 books on English...

In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? (A) `770` (B) `385` (C) `1540` (D) `399`

Text Solution

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We can place `21` English books first and then we will place Hindi books between them so that no two Hindi books are together.
So, there are `22` places to store `19` Hindi books.
So, total number of ways doing this `= C(22,19) = (22**21**20)/(3**2**1) = 1540`
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